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Finding the Fourth Proportional to 713.34, 1,067.74 and 383.82

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Solution

The fourth proportional to 713.34, 1,067.74 and 383.82 is: 574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.34 : 1,067.74 = 383.82 : x
  2. Step 2: Convert to fraction form
    713.34/1,067.74 = 383.82/x
  3. Step 3: Cross multiply
    713.34x = 1,067.74 × 383.82
  4. Step 4: Simplify right side
    713.34x = 409,819.97
  5. Step 5: Solve for x
    x = 409,819.97/713.34
  6. Step 6: Final answer
    x = 574.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.